{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "布朗运动的公式为：\n",
    "\n",
    "$$ S_t = S_{0} + \\epsilon \\sqrt{dt} $$\n",
    "\n",
    "其中：\n",
    "- $ S_t $ 是时间 $ t $ 时的位置\n",
    "- $ S_{t-1} $ 是时间 $ t-1 $ 时的位置\n",
    "- $ \\epsilon_t $ 是从标准正态分布中抽取的随机变量\n",
    "- $ dt $ 是每个时间步长\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7b010867-5901-42ce-81fb-a9e35d77509c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import numba\n",
    "#  先不用函数的写法写一遍\n",
    "S0 = 0  # 起点设置\n",
    "T = 1   # 假定模拟一年的时间\n",
    "paths = 10 # 假定模拟10条路径\n",
    "steps = 100  # 将1年分为100个时间间隔\n",
    "dt = T / steps # 求出dt\n",
    "S_path = np.zeros((steps+1,paths))   #创建一个101行（第一行为S0）、10列的矩阵，用来准备储存模拟情况\n",
    "S_path[0] = S0  #起点设置为S0\n",
    "rn = np.random.standard_normal(S_path.shape) # 一次性创建出需要的正态分布随机数，当然也可以写在循环里每次创建一个时刻的随机数\n",
    "for step in range(1,steps+1):\n",
    "    S_path[step] = S_path[step - 1] + rn[step-1]*np.sqrt(dt)\n",
    "plt.plot(S_path[:,:])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "abf3aa54-0968-444e-84d2-aa91e303d9df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def standar_brownian(steps,paths,T,S0):\n",
    "    dt = T / steps # 求出dt\n",
    "    S_path = np.zeros((steps+1,paths))   #创建一个矩阵，用来准备储存模拟情况\n",
    "    S_path[0] = S0  #起点设置\n",
    "    rn = np.random.standard_normal(S_path.shape) # 一次性创建出需要的正态分布随机数，当然也可以写在循环里每次创建一个时刻的随机数\n",
    "    for step in range(1,steps+1):\n",
    "        S_path[step] = S_path[step - 1] + rn[step-1]*np.sqrt(dt)\n",
    "    plt.plot(S_path[:,:])\n",
    "    plt.show()\n",
    "    return S_path\n",
    "S_path = standar_brownian(steps = 100,paths = 10,T = 1,S0 = 0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "832448e4",
   "metadata": {},
   "source": [
    "广义布朗运动（Generalized Brownian Motion, GBM）的数学公式为：\n",
    "\n",
    "$$ S_t = S_{0} + at+b\\epsilon \\sqrt{dt} $$\n",
    "\n",
    "其中：\n",
    "- $ S_t $ 是时间 $ t $ 时的位置\n",
    "- $ S_0 $ 是初始位置\n",
    "- $ a $ 是漂移系数（drift coefficient）\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "58f7e9fd-bfa5-4290-b054-ee842451e124",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def brownian(steps,paths,T,S0,a,b):\n",
    "    dt = T / steps # 求出dt\n",
    "    S_path = np.zeros((steps+1,paths))   #创建一个矩阵，用来准备储存模拟情况\n",
    "    S_path[0] = S0  #起点设置\n",
    "    rn = np.random.standard_normal(S_path.shape) # 一次性创建出需要的正态分布随机数，当然也可以写在循环里每次创建一个时刻的随机数\n",
    "    for step in range(1,steps+1):\n",
    "        S_path[step] = S_path[step - 1] + a*dt + b* rn[step-1]*np.sqrt(dt) # 和标准布朗运动的区别就在这一行\n",
    "    plt.plot(S_path[:,:])\n",
    "    plt.show()\n",
    "    return S_path\n",
    "S_path = brownian(steps = 100,paths = 10,T = 1,S0 = 0,a = 5, b = 2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3939927e",
   "metadata": {},
   "source": [
    "几何布朗运动（Geometric Brownian Motion, GBM）的数学公式为：\n",
    "\n",
    "$$ dS_t = \\mu S_t dt + \\sigma S_t dz $$\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "93201858-bad5-420d-8fce-52273b931c84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def geo_brownian(steps,paths,T,S0,u,sigma):\n",
    "    dt = T / steps # 求出dt\n",
    "    S_path = np.zeros((steps+1,paths))   #创建一个矩阵，用来准备储存模拟情况\n",
    "    S_path[0] = S0  #起点设置\n",
    "    rn = np.random.standard_normal(S_path.shape) # 一次性创建出需要的正态分布随机数，当然也可以写在循环里每次创建一个时刻的随机数\n",
    "    for step in range(1,steps+1):\n",
    "        S_path[step] = S_path[step - 1] * np.exp((u-0.5*sigma**2)*dt +sigma*np.sqrt(dt)*rn[step]) # 和其他布朗运动的区别就在这一行\n",
    "    plt.plot(S_path[:,:])\n",
    "    plt.show()\n",
    "    return S_path\n",
    "S_path = geo_brownian(steps = 100,paths = 50,T = 1,S0 = 100,u = 0.03, sigma = 0.2)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
